Question

simplify 4+root 6/4-root 6 + 4-root 6 /4+root 6

Answer 1

Answer:

Step-by-step explanation:

= 22/5

=4.4

Answer 2

The simplified expression is 22/5

Step-by-step explanation:

The given rational expression is

$\frac{\left(4+\sqrt{6}\right)}{4-\sqrt{6}}+\frac{\left(4-\sqrt{6}\right)}{4+\sqrt{6}}$

The LCM of the expression is  $\left(4-\sqrt{6}\right)\left(4+\sqrt{6}\right)$

Adjust fractions based on the LCM

$\frac{\left(4+\sqrt{6}\right)^2}{\left(4-\sqrt{6}\right)\left(4+\sqrt{6}\right)}+\frac{\left(4-\sqrt{6}\right)^2}{\left(4-\sqrt{6}\right)\left(4+\sqrt{6}\right)}$

Simplify the expression

$=\frac{16+6+8\sqrt6+16+6-8\sqrt6}{4^2-(\sqrt6)^2}\\\\=\frac{44}{16-6}\\\\=\frac{44}{10}\\\\=\frac{22}{5}$

#Learn More:

Solve for x.

https://brainly.in/question/9679894